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102411012 = 223112251281
BaseRepresentation
bin1100001101010…
…10101100000100
321010201000111110
412012222230010
5202204123022
614055005020
72352323244
oct606525404
9233630443
10102411012
1152898a00
122a369770
13182a9042
14d85bb24
158ece00c
hex61aab04

102411012 has 72 divisors (see below), whose sum is σ = 264642336. Its totient is φ = 30800000.

The previous prime is 102410963. The next prime is 102411017. The reversal of 102411012 is 210114201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102411017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364312 + ... + 364592.

It is an arithmetic number, because the mean of its divisors is an integer number (3675588).

Almost surely, 2102411012 is an apocalyptic number.

102411012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132321168).

102411012 is an abundant number, since it is smaller than the sum of its proper divisors (162231324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102411012 is a wasteful number, since it uses less digits than its factorization.

102411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102411012 is about 10119.8326073112. The cubic root of 102411012 is about 467.8596079730.

Adding to 102411012 its reverse (210114201), we get a palindrome (312525213).

It can be divided in two parts, 102 and 411012, that added together give a palindrome (411114).

The spelling of 102411012 in words is "one hundred two million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 251 281 363 484 502 562 726 753 843 1004 1124 1452 1506 1686 2761 3012 3091 3372 5522 6182 8283 9273 11044 12364 16566 18546 30371 33132 34001 37092 60742 68002 70531 91113 102003 121484 136004 141062 182226 204006 211593 282124 364452 408012 423186 775841 846372 1551682 2327523 3103364 4655046 8534251 9310092 17068502 25602753 34137004 51205506 102411012